A master's dissertation was discussed in the College of Education for Pure Sciences, University of Thi-Qar on semi-analytical methods of partial differential equations of the fractional order of the Caputo effect by the postgraduate student, Mr. Hussein Ali Awaid. The dissertation reviewed the semi-analytical methods of partial differential equations of fractional order, as well as the application of the fractional resilience anisotropy repetition method and the Home Toby analysis method to obtain approximate analytical solutions. The dissertation highlighted that using the effect Caputo is to enhance the derivation with solutions of some equations and systems via their application.
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